scholarly journals On the transcendental radius of the Volterra integration operator

2015 ◽  
Vol 6 (1) ◽  
pp. 54-58
Author(s):  
Levon Gevorgyan
Keyword(s):  
Integration Operator

scholarly journals New proof of Nagnibida's theorem

2006 ◽  
Vol 4 (1) ◽  
pp. 85-90
Author(s):  
Mubariz T. Karaev
Keyword(s):  
Holomorphic Functions ◽  
Integration Operator

Using the Duhamel product for holomorphic functions we give a new proof of Nagnibida’s theorem on unicellularity of integration operatorJα,(Jαf)(z)=∫αzf(t)dt, acting in the spaceHoℓ(Ω).

scholarly journals A note on Riesz fractional integrals in the limiting case α(x)p(x) ≡ n

2013 ◽  
Vol 16 (2) ◽  
Author(s):  
Stefan Samko
Keyword(s):  
Fractional Integration ◽  
Fractional Integrals ◽  
Variable Order ◽  
Integration Operator ◽  
Hölder Continuous ◽  
Open Set ◽  
Fractional Integration Operator ◽  
Limiting Case

AbstractWe show that the Riesz fractional integration operator I α(·) of variable order on a bounded open set in Ω ⊂ ℝn in the limiting Sobolev case is bounded from L p(·)(Ω) into BMO(Ω), if p(x) satisfies the standard logcondition and α(x) is Hölder continuous of an arbitrarily small order.

scholarly journals Generalized integration operators from Bloch type spaces to weighted BMOA Spaces

2011 ◽  
Vol 44 (2) ◽  
Author(s):  
S. D. Sharma ◽  
Anshu Sharmat
Keyword(s):  
Integration Operator ◽  
Bmoa Spaces ◽  
Type Spaces

AbstractIn this paper, we consider a generalized integration operator

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